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Finding the Third Proportional to 159,943 and 339,566

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Solution

The third proportional to 159,943 and 339,566 is: 720,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,943 : 339,566 = 339,566 : x
  2. Step 2: Convert to fraction form
    159,943/339,566 = 339,566/x
  3. Step 3: Cross multiply
    159,943x = 339,566 × 339,566
  4. Step 4: Simplify right side
    159,943x = 115,305,068,356
  5. Step 5: Solve for x
    x = 115,305,068,356/159,943
  6. Step 6: Final answer
    x = 720,913.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.